一种类似于局部域的某些扩展中超越元素的判别式的概念

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2020-05-24 DOI:10.4171/rsmup/41

S. Achimescu, V. Alexandru, C. S. Andronescu

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摘要

设(K， |·|)为局部域。本文对K上的某些超越元素定义了一个类似于K上的判别式的不变量。主:11 s99;次级:13A18、12J05、12J10、12J25。

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A notion analogous to the discriminant for transcendental elements in certain extensions of local fields

Let (K, |·|) be a local field. In this paper we define an invariant analogous to the discriminant over K for certain transcendental elements over K. Mathematics Subject Classification (2010). Primary: 11S99; Secondary: 13A18, 12J05, 12J10, 12J25.

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Rendiconti del Seminario Matematico della Università di Padova

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